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NO, it has done exactly the opposite. Ross Perot said it would lead to jobs going to Mexico. Anyone with half a brain can see this article is saying the opposite.

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[It is a myth that] NAFTA will reduce illegal immigration. As manufacturing in northern Mexico expands, hundreds of thousands of Mexican workers will be drawn north. They will quickly find that wages in the Mexican maquiladora plants cannot compete with wages anywhere in the US. Out of economic necessity, many of these mobile workers will consider illegally immigrating into the US. In short, NAFTA has the potential to increase illegal immigration, not decrease it.

Source: Save Your Job, Save Our Country, by Ross Perot, p. 72 Jan 1, 1993

Anti-NAFTA experts mentioned that the trade pact would undermine Mexican agriculture to the point where Mexican peasants would look for jobs in the US. That wasn't Perot's main point, but it looks like he may have been right about the overall effect on immigration to the US. Perot stressed the effect of NAFTA on American jobs, but it wasn't the whole of the argument that he and others made against NAFTA.